document.write( "Question 823689: Write an equation in Slope-intercept form for the line that is perpendicular to the line y = 2x - 5 that passes through the given point (4,-2). Show your work. \n" ); document.write( "
Algebra.Com's Answer #495693 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! Perpendicular lines have slopes which are negative reciprocals.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In the line y = 2x - 5, \n" ); document.write( "the slope is 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The perpendicular slope is -1/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(4,-2) , m = -1/2 {point and slope} \n" ); document.write( "y - y1 = m(x - x1) {point-slope form} \n" ); document.write( "y - (-2) = (-1/2)(x - 4) {substituted point and slope into point-slope form} \n" ); document.write( "y + 2 = (-1/2)x + 2 {used distributive property} \n" ); document.write( "y = (-1/2)x {subtracted 2 from each side} \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |